6777
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 3303
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4500
- Möbius Function
- 0
- Radical
- 753
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 88
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- 5th powers written backwards.at n=6A002118
- Number of restricted 3 X 3 matrices with row and column sums n.at n=40A005045
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=20A020411
- Numbers having three 7's in base 10.at n=6A043519
- a(n) = floor(47*(n-3/2)^(3/2)).at n=27A050256
- Number of triangular regions in regular n-gon with all diagonals drawn.at n=24A062361
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=38A069832
- Powers of 6 written backwards.at n=5A071588
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=14A072016
- a(1) = 1; then the smallest number such that both the forward and reverse n-th partial concatenation is a prime for n > 1. (Reverse concatenation is taken term-wise and not digit-wise.)at n=41A083992
- Expansion of 1/(1-3x+3x^3) in powers of x.at n=9A090400
- Array read by antidiagonals: Costs E[m,N] of m-ary Huffman trees of maximum height with N internal nodes (non-leaves) for minimizing absolutely ordered sequences of size n=2N+1; m > 1, N > 0.at n=57A098810
- (1/8)*number of equilateral triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube.at n=8A103501
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=22A116014
- Smallest multiple of A047201(n) (i.e., numbers not divisible by 5) with only digits 6 and 7.at n=7A124476
- Smallest multiple of A047201(n) (i.e., numbers not divisible by 5) with only digits 6 and 7.at n=2A124476
- Smallest multiple of A047201(n) (i.e., numbers not divisible by 5) with only digits 6 and 7.at n=21A124476
- Powers of 6 written backwards and sorted.at n=4A134112
- Numerator of Euler(n, 7/23).at n=3A156949
- a(n) = 242*n + 1.at n=27A157958